Answer:
$ 35.00
Step-by-step explanation:
50.00 ÷ 10 = 5.00 (10%)
5.00 x 3 = 15.00 ( 30%)
50 - 15 = 35.
Sorry I couldn't explain more, But I hope this helps!
In a certain community, 8% of all adults over 50 have diabetes. If a health service in this community correctly diagnoses 95% of all persons with diabetes as having the disease and incorrectly diagnoses 2% of all persons without diabetes as having the disease, find the probabilities that
a) the community health service will diagnose an adult over 50 as having diabetes.
b) a person over 50 diagnosed by the health service as having diabetes actually has the disease.
Answer and Step-by-step explanation:
Solution:
Given:
Let A is the event of a person over 50 diagnosed by health service.
B1 is the event that an adult over 50 actually has diabetes.
B2 is the event that an adult over 50 does not have diabetes.
P (B1) = 8% = 0.08
And P (B2) = 1 – P (B1)
= 1 – 0.08
= 0.92
Correctly diagnose of all persons with diabetes= 95%
P (A/B1) = 0.95
Incorrectly diagnose of all persons without diabetes= 2%
P (A/B2) = 0.02
(a) ) the community health service will diagnose an adult over 50 as having diabetes.
P (B1) P (A/B1) = (0.08) (0.95) = 0.076
P (B2) p (A/B2) = (0.92) (0.02) =0.0184
P (B1) P (A/B1) + P (B2) p (A/B2) = 0.076 + 0.0184
= 0.0944
(b) A person over 50 diagnosed by the health service as having diabetes actually has the disease.
By using formula:
P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)
Put all the given values:
= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)
=0.076 / 0.076 + 0.0184
=0.076 / 0.0944
= 0.8050
Using conditional probability, it is found that there is a:
a) 0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.
b) 0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.Item a:
The percentages of a positive test is:
95% of 8%(have diabetes).2% of 92%(do not have diabetes).Hence:
[tex]P(A) = 0.95(0.08) + 0.02(0.92) = 0.0944[/tex]
0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.
Item b:
Event A: Positive test.Event B: Has the disease.From item a, [tex]P(A) = 0.0944[/tex].
The probability of both a positive test and having the disease is:
[tex]P(A \cap B) = 0.95(0.08)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.08)}{0.0944} = 0.8051[/tex]
0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.
A similar problem is given at https://brainly.com/question/14398287
Using what you noticed, find the measures of the four angles at point B in this second diagram. Lines AC and DF are parallel.
Answer:
The measures of the four angles at B are
m∠EBC = 34°
m∠ABH = 34°
m∠EBA = 146°
m∠CBH = 146°
Step-by-step explanation:
∵ AC // DF
∵ HG is the transversal
∴ m∠GEF = m∠EBC ⇒ corresponding angles
∵ m∠GEF = 34°
∴ m∠EBC = 34°
∵ GH intersects AC at B
∴ m∠EBC = m∠ABH ⇒ vertically opposite angles
∵ m∠EBC = 34°
∴ m∠ABH = 34°
∵ B ∈ AC
∴ ∠EBC and ∠EBA formed a pair of linear angles
∵ The sum of the measures of the pair of linear angles is 180°
∴ m∠EBC + m∠EBA = 180°
→ Substitute m∠EBC by 34°
∴ 34 + m∠EBA = 180
→ Subtract 34 from both sides
∵ 34 - 34 + m∠EBA = 180 - 34
∴ m∠EBA = 146°
∵ ∠EBA and ∠CBH are vertically opposite angles
∴ m∠EBA = m∠CBH
∵ m∠EBA = 146°
∴ m∠CBH = 146°
Find the measure of each indicated angle. (2x-1) and (3x-19)
Which decimal number is equal to 318 ? 0.167 0.16¯ 0.16¯¯¯¯ 0.167¯¯¯¯¯
The fraction 3/18 is equal to the decimal number [tex]\hat{0.167}[/tex]
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
Division is one of the four basic operations of arithmetic. Division is the act of dividing, or separating, a whole into pieces.
Given the expression:
3/18
Dividing gives:
= 0.16666666667
= [tex]\hat{0.167}[/tex]
3/18 is equal to [tex]\hat{0.167}[/tex]
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Charles made the following observation:
"When I divide two fractions, the divisor is larger than the quotient."
Which of the following equations would prove Charles's statement false? Select all that apply.
Answer:
Where is it?
Step-by-step explanation:
Answer:
Whats the Answer?????????
Step-by-step explanation:
PLEASE HELP ME!!
It’s due in a couple of hours and I’m having hard time understanding how to do these problems. It’s 40 points, 10 for each problem.
Answer:
11. f(g(3))=5 g(f(-2))=-6
12.f(g(3))=8 g(f(-2))=3
13.f(g(3))=8 g(f(-2))=3
14.f(g(3))=0 g(f(-2))=5
Step-by-step explanation:
SOMEONE PLS HELP ME W THIS QUESTION ASAP I’LL MARK BRAINLIEST
Answer:
i think it is A the first option
Step-by-step explanation:
Which statement is false
A. Every integer is also a rational number
B. No rational number is irrational
C. Every rational number is also an integer
D. Every irrational number is also real
Answer:
C
Step-by-step explanation:
The answer is C because a rational number is a number that doesn't go forever, and an integer is a positive or negative whole number. For example, 3.5 is rational but not an integer. So, the correct answer is C, and I hope it helps!
Solve the system by substitution.
y=-x^2+2x+10
y=x+4
Answer:
x=3, y=7
x=-2, y=2
Step-by-step explanation:
System of Equations
We have the following equations:
[tex]y=-x^2+2x+10[/tex]
[tex]y=x+4[/tex]
We'll solve it by substitution. Since the second equation is already solved for y, we use that expression and substitute into the first equation:
[tex]x+4=-x^2+2x+10[/tex]
Since this is a quadratic equation, it's convenient to have all terms to one side:
[tex]x+4+x^2-2x-10=0[/tex]
Simplifying and reordering:
[tex]x^2-x-6=0[/tex]
Factoring:
[tex](x-3)(x+2)=0[/tex]
Solving:
x=3, x=-2
Those yield to two solutions for y:
y=x+4
y=7, y=2
The solutions of the system are:
x=3, y=7
x=-2, y=2
7th grade help me pleasee
Can someone please help, ty!!
(Will mark brainliest)
Answer:
I believe it is four hours
Step-by-step explanation:
What is 6 x 7 ones??
Answer:
42 it is the answer i think
Step-by-step explanation:
6 × 7 = 42
6×1 = 6
6×2 = 12
6×3 = 18
6×4 = 24
6×5 = 30
6×6 = 36
6×7 = 42
6×8 = 48
6×9 = 54
6×10 = 60
A housing policy research group reported that the proportion of homeowners in the U.S. who struggle to make monthly mortgage payments is 0.29, or 29%. A real estate company is interested in examining this claim in a particular state that has experienced recent economic hardships Refer to the information above regarding the survey of homeowners with mortgages. The survey found that in a sample of 451 randomly selected homeowners, 183 reported having difficulty paying their mortgages each month. If a hypothesis test were to be conducted to determine if the problem is worse in this particular state, which of the following would be the correct value of the test statistic? Choose the closest value, taking all calculations to four decimal places.
a) 5.42
b) 0.45
c) 0.36
d) 18.99
e) 0.26
Answer:
The option is A
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.29[/tex]
The sample size is n = 451
The number that was having difficulty is k = 183
Generally the sample proportion is mathematically represented as
[tex]\^ {p} = \frac{k}{n}[/tex]
=> [tex]\^ {p} = \frac{183}{451}[/tex]
=> [tex]\^ {p} = 0.4058[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \^ {p} - p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]
=> [tex]t = \frac{0.4058 - 0.29 }{ \sqrt{\frac{0.29 (1-0.29)}{451} } }[/tex]
=> [tex]t = 5.42 [/tex]
How much dose 15 go in 48
Answer:
three times
Step-by-step explanation:
15 30 45 cant go no more
[n +1] – 10 >-9
Solve.
Problems
1) Paul runs 4 miles in 28 minutes. If he runs each mile at the same pace,
what is his rate in minutes per mile?
1 point
Your answer
Answer:
7
Step-by-step explanation:
You must divide 28 by 4 which equals 7.
A large banquet room holds 288 people with each table seating 8. How
many tables will the banquet hall have without going over its capacity?*
Answer:
The answer is 36
Step-by-step explanation:
First you have to divide 288 by 8 and then you have to see how many times 8 will go into 2 it can't so see how many times it will go into 28 which is 3 and you will get 24 then you subtract 24 from 28 and you get 4 then bring down the 8 an it 48 now see how many times 8 will go into 48 which is 6 times and you get 48 then you subtract 48 by 48 and you get 0 so the answer is 36HOPE THIS HELPEDYou pay $25 each month for satellite TV, plus $1.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $38.50
Answer
9 movies
Step-by-step explanation:
$25 - 38.50 = $13.50
13.50/ $1.50 = 9
A game you want is on sale for 15% off.if the regular price is $50.00,how much will you save?and what will the total sale price be?
Answer:
you will save 7.50$ and the total sale will be 42.50
Step-by-step explanation:
Morton sees these stickers at a craft store. What is the ratio of clouds to suns ☁️☀️☁️☁️☀️
Answer:
3:2
Step-by-step explanation:
3 clouds, 2 suns
Answer: 3:2
Step-by-step explanation:
there are three clouds to two suns
What fraction is equal to 5/7
The answer is
[tex]\frac{10}{14} \frac{15}{21} \frac{25}{35} \frac{30}{42} \frac{35}{49}[/tex]
To learn more, take a look at this chart please.
Answer:
Any of these
10/14
15/21
20/28
etc.
Step-by-step explanation:
Basically, if you multiply the fraction by the same number, it will be equal.
Express missing divisor using power of 10.
6.3 / ____= 0.0063
a number increased by 15 is 114
Answer:
129
Step-by-step explanation:
all u have to do is add those two numbers
Answer:
114 - 15 = 99
Step-by-step explanation:
A "number" can be used as x since we don't know what it is at first- since it'd be x + 15 = 114 you can just do 114 - 15 to get the answer to x which is 99:)
MY TEACHER TEXTED ME THIS IDK WHAT TO EVEN DO:( help i luv u
Answer:
yea
same
Step-by-step explanation:
Answer:
well i hope you can figure it out
Step-by-step explanation:
What is the total number of digits required in numbering the pages of the book, which has 76 pages?
Answer:
152
Step-by-step explanation:
Please mark as brainliest.
11) 576 + m = 1000 for m = 524
True or false
Answer:
False
Step-by-step explanation:
M= 424
prob ion know but yeah
what is the mean (average) of 2,4,5,6,8
Answer:
5
Step-by-step explanation:
In order to figure out average, we need to add up all the numbers. So adding 2, 4, 5, 6, and 8 gives us 25. We now divide that total by the total number of terms we used to reach 25. So since we had 5 numbers, we divide 25 by 5 to get an average of 5.
Answer:
5.
Step-by-step explanation:
To find mean. you just add all the numbers up and divide by the number of numbers (5).
2+4+5+6+8=25
25/5=5
What is the value f(4) if f(x)=-4(x+3)-14
Answer:
f(4)=-42
Step-by-step explanation:
f(x)=-4(x+3)-14
(sub 4 for x in the equation f(x) to find f(4))
f(4)=-4×(4+3)-14
(simplify inside the bracket)
=-4×7-14
(multiply 7 and -4)
=-28-14
(simplify)
=-42
Rachel is driving her car at a constant 60 miles per hour. If she drives for four hours, what is the
total distance she drives?
Answer:
240
Step-by-step explanation:
60 x 4
Answer:
240 miles
Step-by-step explanation:
If she's going 60 miles per hour and she drives 4 hours then you multiply those two numbers together and get that she has drove 240 miles.
Miss Young is making fruit baskets to send to her 7 cousins. in each basket she puts a g green apples. she puts three times as many red apples in each basket.
Which expression represents the total number of apples Miss Young sends her cousins. choose all that apply.
g +3g
7(g+3g)
7+g+3g
7g+7(3g)
28g
7+4g
Answer: 7(g + 3g) , 7g + 7(3g) , and 28g
Step-by-step explanation: I got it wrong and it showed me the answers so here you go